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	Uniqueness of limit cycles for Lienard differential equations of degree four
	Li, Chengzhi ; Llibre, Jaume
	2012
关键词	Lienard equations Limit cycle
英文摘要	We prove that any classical Lienard differential equation of degree four has at most one limit cycle, and the limit cycle is hyperbolic if it exists. This result gives a positive answer to the conjecture by A. Lins, W. de Melo and CC. Pugh (1977) [4] about the number of limit cycles for polynomial Lienard differential equations for n = 4. (C) 2011 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000300077400008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 30; ARTICLE; 4; 3142-3162; 252
语种	英语
出处	SCI
出版者	微分方程杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157550]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Chengzhi,Llibre, Jaume. Uniqueness of limit cycles for Lienard differential equations of degree four. 2012-01-01.

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